Characterization of Generalized Bessel Polynomials in Terms of Polynomial Inequalities
Copyright policy ) de Andrade, EXL; Dimitrov, D. K.; Ranga, A. S.;
Characterization of Generalized Bessel Polynomials in Terms of Polynomial Inequalities
The authors prove two theorems, each of which characterizes the generalized Bessel polynomials \(y_n(x;\alpha,\beta)\) as the extremal polynomials in certain interesting inequalities of Markov type in an \(L^2\) norm. Their results are based upon an orthogonality property of the generalized Bessel polynomials, which was considered earlier by the reviewer [Appl. Math. Comput. 61, No. 2-3, 99--134 (1994; Zbl 0791.33006)].
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Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Applied Mathematics, Bessel polynomials, Analysis
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Applied Mathematics, Bessel polynomials, Analysis
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